Similarly for INTERSECT, EXCEPT = Find the drinkers and beers such that the drinker. likes the beer and frequents a bar that serves it.
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- Marjory Eaton
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1 Union, Intersection, Dierence \Relation UNION relation" produces the union of the two relations. Similarly for INTERSECT, EXCEPT = intersection and set dierence. But: in Oracle set dierence is MINUS, not EXCEPT. Find the drinkers and beers such that the drinker likes the beer and frequents a bar that serves it. Likes(drinker, beer) Frequents(drinker, bar) Likes INTERSECT (SELECT drinker, beer FROM Sells, Frequents WHERE Frequents.bar = Sells.bar ); 1
2 Bag Semantics of SQL An SQL relation is really a bag or multiset. It may contain the same tuple more than once, although there is no specied order (unlike a list). : f1; 2; 1; 3g is a bag and not a set. Bag Union Sum the times an element appears in the two bags. : f1; 2; 1g [f1; 2; 3g = f1; 1; 1; 2; 2; 3g. Bag Intersection Take the minimum of the number of occurrences in each bag. : f1; 2; 1g \f1; 2; 3g = f1; 2g. Bag Dierence Proper-subtract the number of occurrences in the two bags. : f1; 2; 1g,f1; 2; 3g = f1g. 2
3 Laws for Bags Dier From Laws for Sets Some familiar laws continue to hold for bags. s: union and intersection are still commutative and associative. But other laws that hold for sets do not hold for bags. R \ (S [ T ) (R \ S) [ (R \ T ) holds for sets. Let R, S, and T each be the bag f1g. Left side: S [ T = f1; 1g; R \ (S [ T )=f1g. Right side: R \ S = R \ T = f1g; (R \ S) [ (R \ T )=f1; 1g 6= f1g. 3
4 Forcing Set/Bag Semantics Default for select-from-where is bag; default for union, interesection, and dierence is set. Why? Saves time of not comparing tuples as we generate them. But we need to sort anyway when we take intersection or dierence. (Union seems to be thrown in for good measure!) Force set semantics with DISTINCT after SELECT. But make sure the extra time is worth it. Find the dierent prices charged for beers. SELECT DISTINCT price FROM Sells; Force bag semantics with ALL after UNION, etc. 4
5 Aggregations Sum, avg, min, max, and count apply to attributes/columns. Also, count(*) applies to tuples. Use these in lists following SELECT. Find the average price of Bud. SELECT AVG(price) FROM Sells WHERE beer = 'Bud'; Counts each tuple (presumably each bar that sells Bud) once. Problem What would we doifsells were a bag? 5
6 Eliminating Duplicates Before Aggregation Find the number of dierent prices at which Bud is sold. SELECT COUNT(DISTINCT price) FROM Sells WHERE beer = 'Bud'; DISTINCT may be used in any aggregation, but typically only makes sense with COUNT. 6
7 Grouping Follow select-from-where by GROUP BY and a list of attributes. The relation that is the result of the FROM and WHERE clauses is grouped according to the values of these attributes, and aggregations take place only within a group. Find the average sales price for each beer. SELECT beer, AVG(price) FROM Sells GROUP BY beer; 7
8 Find, for each drinker, the average price of Bud at the bars they frequent. Frequents(drinker, bar) SELECT drinker, AVG(price) FROM Frequents, Sells WHERE beer = 'Bud' AND Frequents.bar = Sells.bar GROUP BY drinker; Note: grouping occurs after the product and selection. 8
9 Restriction on SELECT Lists With Aggregation If any aggregation is used, then each element of a SELECT clause must either be aggregated or appear in a group-by clause. The following might seem a tempting way to nd the bar that sells Bud the cheapest: SELECT bar, MIN(price) FROM Sells WHERE beer = 'Bud'; But it is illegal in SQL2. Problem How would we nd that bar? 9
10 HAVING clauses \HAVING condition" eliminates groups when condition is false. Condition can use the tuple variables or relations in the FROM and their attributes, just like the WHERE can. But the t.v.'s range only over the group. 10
11 Find the average price of those beers that are either served in at least 3 bars or manufactured by Anheuser-Busch. Beers(name, manf) SELECT beer, AVG(price) FROM Sells GROUP BY beer HAVING COUNT(bar) >= 3 OR beer IN ( SELECT name FROM Beers WHERE manf = 'Anheuser-Busch' ); 11
12 DB Modications Modication = insert + delete + update. Insertion of a Tuple INSERT INTO relation VALUES (list of values). Inserts the tuple = list of values, associating values with attributes in the order the attributes were declared. Forget the order? List the attributes as arguments of the relation. Likes(drinker, beer) Insert the fact that Sally likes Bud. INSERT INTO Likes(drinker, beer) VALUES('Sally', 'Bud'); 12
13 Insertion of the Result of a Query INSERT INTO relation (subquery). Create a (unary) table of all Sally's potential buddies, i.e., the people who frequent bars that Sally also frequents. Frequents(drinker, bar) CREATE TABLE PotBuddies( name char(30) ); INSERT INTO PotBuddies (SELECT DISTINCT d2.drinker FROM Frequents d1, Frequents d2 WHERE d1.name = 'Sally' AND d2.name <> 'Sally' AND d1.bar = d2.bar ); 13
14 Deletion DELETE FROM relation WHERE condition. Deletes all tuples satisfying the condition from the named relation. Sally no longer likes Bud. Likes(drinker, beer) DELETE FROM Likes WHERE drinker = 'Sally' AND beer = 'Bud'; Make the Likes relation empty. DELETE FROM Likes; 14
15 Delete all beers for which there is another beer by the same manufacturer. Beers(name, manf) DELETE FROM Beers b WHERE EXISTS (SELECT name FROM Beers WHERE manf = b.manf AND name <> b.name ); Note alias for relation from which deletion occurs. 15
16 Semantics is tricky. If A.B. makes Bud and BudLite, does deletion of Bud make BudLite not satisfy the condition? SQL2 formal semantics says \no." Oracle implements this deletion properly (i.e., both get deleted). General principle: all conditions in modications should be evaluated by the system before any mods due to that mod command occur. Especially important when subqueries are used, because they can refer to the relation being modied. 16
17 Updates UPDATE relation SET list of assignments WHERE condition. Drinker Fred's phone number is Drinkers(name, addr, phone) UPDATE Drinkers SET phone = ' ' WHERE name = 'Fred'; Make $4 the maximum price for beer. Updates many tuples at once. UPDATE Sells SET price = 4.00 WHERE price > 4.00; 17
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